132428400
132,428,400 is an even composite number composed of five prime numbers multiplied together.
132428400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred eighty divisors.
Prime factorization of 132428400:
24 × 3 × 52 × 132 × 653
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 653)See below for interesting mathematical facts about the number 132428400 from the Numbermatics database.
Names of 132428400
- Cardinal: 132428400 can be written as One hundred thirty-two million, four hundred twenty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.324284 × 108
Factors of 132428400
Divisors of 132428400
- Number of divisors d(n): 180
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 130 150 156 169 195 200 208 240 260 300 312 325 338 390 400 507 520 600 624 650 653 676 780 845 975 1014 1040 1200 1300 1306 1352 1560 1690 1950 1959 2028 2535 2600 2612 2704 3120 3265 3380 3900 3918 4056 4225 5070 5200 5224 6530 6760 7800 7836 8112 8450 8489 9795 10140 10448 12675 13060 13520 15600 15672 16325 16900 16978 19590 20280 25350 25467 26120 31344 32650 33800 33956 39180 40560 42445 48975 50700 50934 52240 65300 67600 67912 78360 84890 97950 101400 101868 110357 127335 130600 135824 156720 169780 195900 202800 203736 212225 220714 254670 261200 331071 339560 391800 407472 424450 441428 509340 551785 636675 662142 679120 783600 848900 882856 1018680 1103570 1273350 1324284 1655355 1697800 1765712 2037360 2207140 2546700 2648568 2758925 3310710 3395600 4414280 5093400 5297136 5517850 6621420 8276775 8828560 10186800 11035700 13242840 16553550 22071400 26485680 33107100 44142800 66214200 132428400
- Sum of all divisors σ(n): 460057608
- Sum of proper divisors (its aliquot sum) s(n): 327629208
- 132428400 is an abundant number, because the sum of its proper divisors (327629208) is greater than itself. Its abundance is 195200808
Bases of 132428400
- Binary: 1111110010010110010011100002
- Hexadecimal: 0x7E4B270
- Base-36: 26UEEO
Squares and roots of 132428400
- 132428400 squared (1324284002) is 17537281126560000
- 132428400 cubed (1324284003) is 2322434079940538304000000
-
The
square root of 132428400 is 11507.7539076919 -
The
cube root of 132428400 is 509.7145653847
Scales and comparisons
How big is 132428400?- 132,428,400 seconds is equal to 4 years, 10 weeks, 6 days, 17 hours, 40 minutes.
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To count from 1 to 132,428,400 would take you about six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 132428400 cubic inches would be around 42.5 feet tall.
Recreational maths with 132428400
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